## Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |

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Side viii

The First of the three books , into which it is

The First of the three books , into which it is

**divided**, treats of the rectification and quadrature o fthe circle , -subjects that are often omitted altogether in works of this kind . They are omitted , however , as I conceive ... Side xiii

Except , perhaps , some new demonstrations , and some changes in the arrangement , these two treatises have , accordingly , no novelty to boast of The Plane Trigonometry is so

Except , perhaps , some new demonstrations , and some changes in the arrangement , these two treatises have , accordingly , no novelty to boast of The Plane Trigonometry is so

**divided**, that the part of it that is barely sufficient for ... Side 27

To bisect a given rectilineal angle , that is , to

To bisect a given rectilineal angle , that is , to

**divide**it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( 3. 1. ) off AE equal to AD ; join DE ... Side 28

To bisect a given finite straight line , that is , to

To bisect a given finite straight line , that is , to

**divide**it into two equal parts . ... DB , and the straight line AB is**divided**into two equal parts in the point D. Which was to be done . A D B PROP . XI . Side 42

For any rectilineal figure ABCDE can be

For any rectilineal figure ABCDE can be

**divided**into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition ...### Hva folk mener - Skriv en omtale

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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1836 |

Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1819 |

Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |

### Vanlige uttrykk og setninger

ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole